Search a number
-
+
13921388550 = 2325231997949
BaseRepresentation
bin11001111011100011…
…11000100000000110
31022221012112210221100
430331301320200012
5212002333413200
610221223400530
71001661564426
oct147561704006
938835483840
1013921388550
1159a42962a3
1228462b3146
13140b246824
14960c92486
155672a5d00
hex33dc78806

13921388550 has 72 divisors (see below), whose sum is σ = 38608689600. Its totient is φ = 3592612800.

The previous prime is 13921388531. The next prime is 13921388557. The reversal of 13921388550 is 5588312931.

13921388550 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 13 + 88 + 550 = 666.

It is a super-2 number, since 2×139213885502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13921388496 and 13921388505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13921388557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 485025 + ... + 512924.

It is an arithmetic number, because the mean of its divisors is an integer number (536231800).

Almost surely, 213921388550 is an apocalyptic number.

13921388550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13921388550 is an abundant number, since it is smaller than the sum of its proper divisors (24687301050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13921388550 is a wasteful number, since it uses less digits than its factorization.

13921388550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997998 (or 997990 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 13921388550 in words is "thirteen billion, nine hundred twenty-one million, three hundred eighty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 4650 6975 13950 997949 1995898 2993847 4989745 5987694 8981541 9979490 14969235 17963082 24948725 29938470 30936419 44907705 49897450 61872838 74846175 89815410 92809257 149692350 154682095 185618514 224538525 278427771 309364190 449077050 464046285 556855542 773410475 928092570 1392138855 1546820950 2320231425 2784277710 4640462850 6960694275 13921388550